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342313140000 = 25354132319081
BaseRepresentation
bin1001111101100110111…
…00111111111100100000
31012201120101120020210110
410332303130333330200
521102024130440000
6421131222331320
733505560452466
oct4766334777440
91181511506713
10342313140000
111221a0930697
1256413b89b40
13263841a7160
14127d49dc836
158d872b0850
hex4fb373ff20

342313140000 has 480 divisors, whose sum is σ = 1261870372224. Its totient is φ = 80593920000.

The previous prime is 342313139983. The next prime is 342313140041. The reversal of 342313140000 is 41313243.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17930460 + ... + 17949540.

Almost surely, 2342313140000 is an apocalyptic number.

342313140000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342313140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630935186112).

342313140000 is an abundant number, since it is smaller than the sum of its proper divisors (919557232224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342313140000 is a wasteful number, since it uses less digits than its factorization.

342313140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19150 (or 19127 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 342313140000 its reverse (41313243), we get a palindrome (342354453243).

The spelling of 342313140000 in words is "three hundred forty-two billion, three hundred thirteen million, one hundred forty thousand".